Rates of convergence and law of the iterated logarithm for U-processes

被引：1

作者：

Turki-Moalla, K ^{[1
]}

机构：

[1] IPEIN, Nabeul 8000, Tunisia

来源：

JOURNAL OF THEORETICAL PROBABILITY | 1998年 / 11卷 / 04期

关键词：

degenerate U-processes; metric entropy; rates of convergence; U-processes;

D O I：

10.1023/A:1022656529912

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

We study in this paper some limit theorems for U-processes. We calculate rates of convergence in the central limit theorem of nondegenerate PI-processes under metric entropy with bracketing condition, Tn application, we improve upon the law of the iterated logarithm of Arcones.((4)) All calculations use the Ossiander chaining procedure.

引用

页码：869 / 906

页数：38

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